Existence and uniqueness results for a singular Kirchhoff type equation on a closed manifold

被引：3
|
作者：
Ounane, Mohamed El Farouk [1 ]
Tahri, Kamel [2 ]
机构：
[1] Univ Djillali Liabes Sidi Bel Abbes, Lab Math, BP 89, Sidi Bel Abbes, Algeria
[2] Abou Bekr Belkaid Univ, High Sch Management, Tilimsen, Algeria
来源：
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2024年 / 93卷
关键词：
Nonlinear elliptic problem; Kirchhoff equation; Riemannian manifold; Singular term; Critical points theory;
D O I：
10.1016/j.difgeo.2023.102094
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Using the variational methods and the critical points theory, we prove the existence and the uniqueness of a positive solution for a singular Kirchhoff type equation on a closed Riemannian manifold of dimension N >= 3. At the end, we give a geometric application involving the conformal Laplacian.(c) 2023 Published by Elsevier B.V.
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页数：10
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